TÜRKÇE
ENGLISH
Information
| Code | ME211 |
| Name | Applied Mathematics For. Mech. Eng. |
| Term | 2024-2025 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. NAKİ TÜTÜNCÜ |
| Course Instructor |
Prof. Dr. NAKİ TÜTÜNCÜ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Carrying one level up the tools learned in basic Calculus; advanced applications
Course Content
Advanced Calculus topics, dierivative applications, infinite series and introductory differential equation analysis
Course Precondition
none
Resources
Lecture Notes
Notes
Calculus and Analytic Geometry, S. K. Stein and A. Barcellos, McGraw-Hill. Elementary Differential Equations and Boundary Value Problems, W. E. Boyce and R. C. Diprima, John Wiley and Sons.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Review of Basic Mathematics |
| LO02 | Application of Advanced Analysisi topics |
| LO03 | Development of problem formulation abilities |
| LO04 | Mathematical expression of physical phenomena |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science, and topics specific to mechanical engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | The ability to identify, formulate, and solve complex engineering problems in the fields of mechanical engineering and technology; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | The ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements in mechanical engineering; the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in mechanical engineering applications; the ability to effectively use information technologies. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | The ability to design experiments, conduct experiments, collect data, analyze and interpret the results for the investigation of complex engineering problems or research topics specific to mechanical engineering. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | The ability to work effectively in intra-disciplinary (mechanical engineering) and multidisciplinary teams; the ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | The ability to communicate effectively both orally and in writing; proficiency in at least one foreign language; the ability to write effective reports in mechanical engineering, understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously renew oneself in the field of mechanical engineering. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Behaving in accordance with ethical principles, awareness of professional and ethical responsibilities in the field of mechanical engineering, and knowledge about the standards used in engineering practices. | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Knowledge of business practices such as project management, risk management, and change management in the field of mechanical engineering; awareness of entrepreneurship and innovation; knowledge about sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Awareness of the universal and societal dimensions of the impacts of mechanical engineering applications on health, environment, and safety, and knowledge about the contemporary issues in the field of mechanical engineering; awareness of the legal consequences of mechanical engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Series | Basic Algebra | Öğretim Yöntemleri: Anlatım |
| 2 | Convergence, Divergence | Basic Algebra | Öğretim Yöntemleri: Anlatım |
| 3 | Convergence Tests | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 4 | Power Series | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 5 | Taylor Series | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 6 | Partial Derivatives | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 7 | Vector Functions | Basic Calculus and Linear Algebra | Öğretim Yöntemleri: Anlatım |
| 8 | Directional Derivative | Basic Calculus and Linear Algebra | Öğretim Yöntemleri: Anlatım |
| 9 | Line İntegrals | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 10 | Area Integrals | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 11 | Definition of Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 12 | First-Order Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 13 | First-Order Differential Equations continue | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 14 | First-Order Linear Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 15 | Second-Order Constant-Coefficient Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 16 | Laplace Transformation Method | Basic Differential Equations | Öğretim Yöntemleri: Anlatım |
| 17 | Laplace Transformation Method continue | Basic Differential Equations | Ölçme Yöntemleri: Performans Değerlendirmesi |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 100 | ||
| Total Workload / 25 (h) | 4,00 | ||
| ECTS | 4 ECTS | ||